It will link to Fareham and therefore Southampton, Bournemouth, etc in the west.
The traffic is poor as in most towns in the south-east, at peak times, but only for the three miles to get to the M27 Southampton-Portsmouth motorway. I commute to Worthing in the east, and in total this takes an hour to an hour and a quarter. I have done this for over a year, and find the M27 and then A27 an excellent commuter route.
With Portsmouth Harbour on one side, and The Solent on the other side, of what is a peninsular town, Gosport offers excellent walks and views. The beach overlooking the Isle of Wight has Blue Flag award. Added to this is the naval history, and the opening up of roads and paths through former MOD land.
A final bonus is that although Gosport has yet to get back its railway and stations, rail commuting from Fareham (3 miles away) is very reliable even via Connex! SWT and Wales & Wessex also run plenty of services. You can easily get to Southampton, Basingstoke or Brighton from Fareham. There are always parking spaces at the station.
In summary, the Gosport and Portsmouth region offers many more positives than negatives, and when your friends and relatives come to stay, they can genuinely consider it a holiday!